Entanglement Entropy from TFD Entropy Operator

In this work, a canonical method to compute entanglement entropy is proposed. We show that for two-dimensional conformal theories defined in a torus, a choice of moduli space allows the typical entropy operator of the TFD to provide the entanglement entropy of the degrees of freedom defined in a seg...

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Bibliographic Details
Published in:arXiv.org 2021-05
Main Authors: Dias, M, Nedel, Daniel L, Senise, C R
Format: Article
Language:English
Subjects:
Entanglement
Entropy
Mathematical analysis
Toruses
Online Access:Get full text
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Summary:In this work, a canonical method to compute entanglement entropy is proposed. We show that for two-dimensional conformal theories defined in a torus, a choice of moduli space allows the typical entropy operator of the TFD to provide the entanglement entropy of the degrees of freedom defined in a segment and their complement. In this procedure, it is not necessary to make an analytic continuation from the Rényi entropy and the von Neumann entanglement entropy is calculated directly from the expected value of an entanglement entropy operator. We also propose a model for the evolution of the entanglement entropy and show that it grows linearly with time.
ISSN:2331-8422
DOI:10.48550/arxiv.2007.05365